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Finding the Fourth Proportional to 2,161.93, 3,242.28 and 601.55

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Solution

The fourth proportional to 2,161.93, 3,242.28 and 601.55 is: 902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.93 : 3,242.28 = 601.55 : x
  2. Step 2: Convert to fraction form
    2,161.93/3,242.28 = 601.55/x
  3. Step 3: Cross multiply
    2,161.93x = 3,242.28 × 601.55
  4. Step 4: Simplify right side
    2,161.93x = 1,950,393.53
  5. Step 5: Solve for x
    x = 1,950,393.53/2,161.93
  6. Step 6: Final answer
    x = 902.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.